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Simplifying 7 + -2(x + -5) = 5(x + -5) Reorder the terms: 7 + -2(-5 + x) = 5(x + -5) 7 + (-5 * -2 + x * -2) = 5(x + -5) 7 + (10 + -2x) = 5(x + -5) Combine like terms: 7 + 10 = 17 17 + -2x = 5(x + -5) Reorder the terms: 17 + -2x = 5(-5 + x) 17 + -2x = (-5 * 5 + x * 5) 17 + -2x = (-25 + 5x) Solving 17 + -2x = -25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + -2x + -5x = -25 + 5x + -5x Combine like terms: -2x + -5x = -7x 17 + -7x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -7x = -25 + 0 17 + -7x = -25 Add '-17' to each side of the equation. 17 + -17 + -7x = -25 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = -25 + -17 -7x = -25 + -17 Combine like terms: -25 + -17 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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